TY - EJOU
AU - Zhao, Tengjin
AU - Zhang, Jing
AU - Li, Zhilin
AU - Zhang, Zhiyue
TI - Numerical Validations of the Tangent Linear Model for the Lorenz Equations
T2 - Computer Modeling in Engineering \& Sciences
PY - 2019
VL - 120
IS - 1
SN - 1526-1506
AB - The validity of the tangent linear model (TLM) is studied numerically using the example of the Lorenz equations in this paper. The relationship between the limit of the validity time of the TLM and initial perturbations for the Lorenz equations is investigated using the Monte Carlo sampling method. A new error function between the nonlinear and the linear evolution of the perturbations is proposed. Furthermore, numerical sensitivity analysis is carried to establish the relationship between parameters and the validity of the TLM, such as the initial perturbation, the prediction time, the time step size and so on, by the method of mathematical statistics.
KW - Lorenz model
KW - tangent linear model
KW - nonlinear model
KW - Monte Carlo
DO - 10.32604/cmes.2019.04483